ASVAB Math Knowledge Practice Test 3843 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

equation

expression

problem

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


2

Solve for x:
-2x - 2 = \( \frac{x}{-8} \)

46% Answer Correctly
\(\frac{3}{4}\)
\(\frac{8}{35}\)
2\(\frac{2}{5}\)
-1\(\frac{1}{15}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-2x - 2 = \( \frac{x}{-8} \)
-8 x (-2x - 2) = x
(-8 x -2x) + (-8 x -2) = x
16x + 16 = x
16x + 16 - x = 0
16x - x = -16
15x = -16
x = \( \frac{-16}{15} \)
x = -1\(\frac{1}{15}\)


3

Simplify (6a)(4ab) - (3a2)(5b).

62% Answer Correctly
9a2b
80ab2
39ab2
80a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(4ab) - (3a2)(5b)
(6 x 4)(a x a x b) - (3 x 5)(a2 x b)
(24)(a1+1 x b) - (15)(a2b)
24a2b - 15a2b
9a2b


4

The dimensions of this trapezoid are a = 4, b = 5, c = 5, d = 4, and h = 3. What is the area?

51% Answer Correctly
13\(\frac{1}{2}\)
9
24
12

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(5 + 4)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)


5

If BD = 17 and AD = 25, AB = ?

76% Answer Correctly
8
12
1
2

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 25 - 17
AB = 8